mr. harris asked his students whether they prefer to build snowmen or have snowball fights after a big…
mr. harris asked his students whether they prefer to build snowmen or have snowball fights after a big snowfall. this table shows some of the results. complete the table. what percentage of girls prefer to have a snowball fight? round your answer to the nearest tenth of a percent.
Answer
Explanation:
Step1: Find the number of girls in total
We know that the total number of students who prefer snow - ball fights is 34 and the number of boys who prefer snow - ball fights is 23. So the number of girls who prefer snow - ball fights is 34 - 23=11. The total number of students is 75. The number of girls who prefer to build a snowman is 26 and the number of girls who prefer a snow - ball fight is 11, so the total number of girls is 26 + 11=37.
Step2: Find the number of boys in total
The total number of students is 75 and the total number of girls is 37, so the total number of boys is 75 - 37 = 38.
Step3: Find the number of boys who prefer to build a snowman
The total number of boys is 38 and the number of boys who prefer snow - ball fights is 23, so the number of boys who prefer to build a snowman is 38 - 23=15.
Step4: Find the number of students who prefer to build a snowman
The number of boys who prefer to build a snowman is 15 and the number of girls who prefer to build a snowman is 26, so the total number of students who prefer to build a snowman is 15 + 26=41.
Step5: Calculate the percentage of girls who prefer a snow - ball fight
The formula for percentage is $\frac{\text{Number of girls who prefer snow - ball fight}}{\text{Total number of girls}}\times100%$. Substitute the values: $\frac{11}{37}\times100%=\frac{1100}{37}% \approx 29.7%$
The completed table:
| Build a snowman | Have a snowball fight | Total | |
|---|---|---|---|
| Boys | 15 | 23 | 38 |
| Girls | 26 | 11 | 37 |
| Total | 41 | 34 | 75 |
Answer:
29.7%